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2375038368 = 25333797253
BaseRepresentation
bin1000110110010000…
…0011010110100000
320010112001110011000
42031210003112200
514331002211433
61031401152000
7112566331053
oct21544032640
96115043130
102375038368
11100971352a
1256348b600
132bb089061
14187602a9a
15dd795113
hex8d9035a0

2375038368 has 96 divisors (see below), whose sum is σ = 6946430400. Its totient is φ = 789481728.

The previous prime is 2375038349. The next prime is 2375038417. The reversal of 2375038368 is 8638305732.

2375038368 is a `hidden beast` number, since 2 + 3 + 7 + 503 + 83 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323830 + ... + 331082.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 22375038368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2375038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473215200).

2375038368 is an abundant number, since it is smaller than the sum of its proper divisors (4571392032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2375038368 is a wasteful number, since it uses less digits than its factorization.

2375038368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2375038368 is about 48734.3653698291. The cubic root of 2375038368 is about 1334.2080089703.

The spelling of 2375038368 in words is "two billion, three hundred seventy-five million, thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 379 432 758 864 1137 1516 2274 3032 3411 4548 6064 6822 7253 9096 10233 12128 13644 14506 18192 20466 21759 27288 29012 36384 40932 43518 54576 58024 65277 81864 87036 109152 116048 130554 163728 174072 195831 232096 261108 327456 348144 391662 522216 696288 783324 1044432 1566648 2088864 2748887 3133296 5497774 6266592 8246661 10995548 16493322 21991096 24739983 32986644 43982192 49479966 65973288 74219949 87964384 98959932 131946576 148439898 197919864 263893152 296879796 395839728 593759592 791679456 1187519184 2375038368